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Question 1 of 5: Find the magnitude & direction angle.
$$\overrightarrow{a}=\langle 12, -16 \rangle$$
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A
$$\left| \overrightarrow{a}\right|=20$$ $$θ ≈ 306.87°$$
B
$$\left| \overrightarrow{a}\right|=16$$ $$θ ≈ 306.87°$$
C
$$\left| \overrightarrow{a}\right|=24$$ $$θ ≈ 323.13°$$
D
$$\left| \overrightarrow{a}\right|=22$$ $$θ ≈ 275.42°$$
E
$$\left| \overrightarrow{a}\right|=5\sqrt{122}$$ $$θ ≈ 267.14°$$
Question 2 of 5: Find the magnitude & direction angle.
$$\overrightarrow{v}=\langle 12, -35 \rangle$$
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A
$$\left| \overrightarrow{v}\right|=\sqrt{1734}$$ $$θ ≈ 341.08°$$
B
$$\left| \overrightarrow{v}\right|=37$$ $$θ ≈ 288.92°$$
C
$$\left| \overrightarrow{v}\right|=2\sqrt{586}$$ $$θ ≈ 341.08°$$
D
$$\left| \overrightarrow{v}\right|=35$$ $$θ ≈ 251.08°$$
E
$$\left| \overrightarrow{v}\right|=7\sqrt{113}$$ $$θ ≈ 244°$$
Question 3 of 5: Find the magnitude & direction angle.
$$\overrightarrow{AB}$$ $$A=(1, 10)$$ $$B=(-2, 5)$$
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A
$$\left| \overrightarrow{AB}\right|=\sqrt{34}$$ $$θ ≈ 329.04°$$
B
$$\left| \overrightarrow{AB}\right|=\sqrt{34}$$ $$θ ≈ 317.64°$$
C
$$\left| \overrightarrow{AB}\right|=\sqrt{370}$$ $$θ ≈ 175.62°$$
D
$$\left| \overrightarrow{AB}\right|=\sqrt{34}$$ $$θ ≈ 239.04°$$
E
$$\left| \overrightarrow{AB}\right|=\sqrt{13}$$ $$θ ≈ 314.67°$$
Question 4 of 5: Find the component form.
$$\left| \overrightarrow{r}\right|=60$$ $$θ=49°$$
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A
$$\overrightarrow{r}=\langle 39.36, 45.28\rangle$$
B
$$\overrightarrow{r}=\langle 45.28, 39.36\rangle$$
C
$$\overrightarrow{r}=\langle -45.28, 39.36\rangle$$
D
$$\overrightarrow{r}=\langle 26.34, 12.37\rangle$$
E
$$\overrightarrow{r}=\left\langle 35\sqrt{2}, 14 \sqrt{5}\right\rangle$$
Question 5 of 5: Find the component form.
$$\left| \overrightarrow{m}\right|=18$$ $$θ=315°$$
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A
$$\overrightarrow{m}=\left\langle -\frac{\sqrt{2}}{2}, -9\sqrt{2}\right\rangle$$
B
$$\overrightarrow{m}=\left\langle 9\sqrt{2}, 9\sqrt{2}\right\rangle$$
C
$$\overrightarrow{m}=\left\langle 9\sqrt{2}, \frac{\sqrt{2}}{2}\right\rangle$$
D
$$\overrightarrow{m}=\left\langle \sqrt{3}, 2\sqrt{2}\right\rangle$$
E
$$\overrightarrow{m}=\left\langle 9\sqrt{2}, -9\sqrt{2}\right\rangle$$

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